Free Professional Development

Or

Algebra 1

In the same way that division is the opposite of mulitplication, taking the square root of a number is the opposite of squaring it. You will practice Multiplying Radical Expressions with the FOIL Method, Using Conjugates to Rationalize Denominators, and Solving Root Equations. We will learn special properties and rules, such as The Quotient Property of Square Roots when Simplifying Radical Expressions. From Roots and Powers in Equations to Radical Functions in the Real World, our Square Roots topic will prepare you for more advanced math topics, such as quadratic equations.

- Roots and Powers in Equations
- Solving Root Equations
- Addition and Subtraction in Roots
- Multiplication of Roots
- Division of Roots
- Dividing Roots
- Taking a Root to an Exponent
- Radical Functions in the Real World
- The Product Property of Square Roots
- The Quotient Property of Square Roots
- Simplifying Radical Expressions
- Rationalizing the Denominator
- Introduction to Conjugates that Rationalize Denominators
- Using Conjugates to Rationalize Denominators
- Subtracting Radical Expressions with Like Radicands
- Adding Radical Expressions with Unlike Radicands
- Subtracting Radical Expressions with Unlike Radicands
- Multiplying Radical Expressions
- Multiplying Radical Expressions with the Distributive Property
- Multiplying Radical Expressions with the FOIL Method
- Midpoint Formula
- Applying the Midpoint Formula
- Basic Midpoint of Two Points
- Finding a Missing Coordinate using the Midpoint Formula
- Applying the Midpoint Formula with One Endpoint
- Midpoint Formula in the Real World
- Distance Formula
- Applying the Distance Formula
- Finding a Missing Coordinate using the Distance Formula
- Distance Formula in the Real World
- Basic Distance Between Points

Study fundamental topics in college-level algebra with emphasis on application.

Grasp core concepts of statistics such as probability distributions, approximations, and hypothesis-testing.

Pathways are a sequence of tutorials that help you learn a whole subject area, one concept at a time. Choose from multiple teachers and teaching styles.

The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 27 of Sophia's online courses for college credit. These courses are eligible to transfer to many different colleges and universities.